Abstract

Several new complex parameters and several new real and complex functions are introduced for the first time. It is found that they are fundamental to this problem and hence to other problems involving Hall currents. Several conclusions on channel flow and energy conversion are obtained. In particular, it is shown under what conditions a mixed type generator can be more efficient than both the corresponding Hall current and ordinary‐type generators. Moreover, it is shown that in a Hall current pump, it is unnecessary to require a zero net Hall current. With viscous effects, a suitable net Hall current and transverse loading combination may produce an optimum pumping.